1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nastasia [14]
3 years ago
11

If PQR ~= STU, which statement must be true?CORRECT ANSWER WAS A.

Mathematics
2 answers:
Harrizon [31]3 years ago
8 0

Answer: PQ ≅ ST

Step-by-step explanation:

When two triangles are congruent then by CPCTC,

their corresponding parts ( angles and sides )  must be congruent.

In triangles PQR and STU,

Side PQ, QR and RP are corresponding to the sides ST, TU and US respectively,

Also, angles P, Q and R are corresponding to angles S, T and U respectively.

Here, Δ PQR ≅ Δ STU,

Thus, by the above property,

PQ ≅ ST, QR ≅ TU and RP ≅ US,

∠P ≅ ∠T, ∠Q ≅ ∠T and ∠R ≅ ∠U

⇒ First option is correct.

Dmitriy789 [7]3 years ago
6 0
A is correct because Side PQ of one triangle corresponds to side ST of the other triangle since are located at the same spot.
You might be interested in
How do I solve this problem
densk [106]
You would put 6 in for k and 2 in for c, making it "5*6-20+8", which equals 18. Hope this helps! :)
5 0
3 years ago
Read 2 more answers
A certain standardized test's math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 119. Co
kumpel [21]

Answer:

a) 68.2%

b) 31.8%

c) 2.3%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 530

Standard Deviation, σ = 119

We are given that the distribution of math scores is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(test scores is between 411 and 649)

P(411 \leq x \leq 649)\\\\= P(\displaystyle\frac{411 - 530}{119} \leq z \leq \displaystyle\frac{649-530}{119})\\\\= P(-1 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -1)\\= 0.841 - 0.159 = 0.682 = 68.2\%

b) P(scores is less than 411 or greater than 649)

P(x < 411 < x, x > 649)\\=1 = P(411 \leq x \leq 649)\\=1 - 0.682\\=0.318 = 31.8\%

c) P(score greater than 768)

P(x > 768)

P( x > 768) = P( z > \displaystyle\frac{768 - 530}{119}) = P(z > 2)

= 1 - P(z \leq 2)

Calculation the value from standard normal z table, we have,  

P(x > 768) = 1 -0.977 = 0.023 = 2.3\%

5 0
3 years ago
Graph the equation
Lisa [10]
To find the root, replace y with 0
X^2-12x+35=0
A=1 B=-12 C=35
B^2-4ac=(-12)^2 -4(1)(35)
=144 -140
=4


x=(-b+/- square root of b^2 -4ac) /over/ (2a)
Plug in the numbers
x=-(-12) sqr (-12)^2 4(1)(35) / (2)(1)
X=12 +/-sqr 4 / 2
Positive outcome
x=12 + sqr 4 / 2
x=12+2/2
x=7 <— this one
Negative outcome
x=12-2i/2
x=6-i
Vertex: (6,-1)
8 0
3 years ago
Solving the Simplified Equation
Artist 52 [7]

Answer:

- 1.5

Step-by-step explanation:

put two x variables in one place and two numbers in one place

28x- 22x = 56-65

6x = -9

x=-1.5

6 0
3 years ago
You are considering a 5/1 ARM. What does the 1 represent?
Lerok [7]

Answer:

  B. The number of years between adjustments in the interest rate

Step-by-step explanation:

The "5" in "5/1" means there will not be any adjustment in interest rate for the first 5 years.

The "1" in "5/1" means interest rates may be adjusted at 1-year intervals after the initial 5-year period.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Brandon and his children went into a bakery and where they sell donuts for $1.25
    6·2 answers
  • A bag contains 25 cents and 50 cent coins whose total value is $30 if the number of 25 cent coins is four times that of 50 cent
    5·2 answers
  • How do you solve the math equation y-y=m(x-x) for when you have to find the equation for an in and out table? i know how to get
    14·2 answers
  • Is parallel to ? Explain. Yes, because both lines have a slope of . Yes, because both lines have a slope of . No, because the sl
    14·2 answers
  • PLS PLS HELP!!!!!! WILL MARK BRAINLIEST!!! :)
    10·2 answers
  • Hello guys so I have one question and can you please tell me how you got the answer and show you work. Thank you
    12·1 answer
  • Two teams, A and B, are about to play a game. Previous records show that A has an 80% chance of winning, while B has a 20% of wi
    9·2 answers
  • 3x/5 - 2 = x + 1/3<br> Solve the equation above for x.
    12·1 answer
  • Which expression is equivalent to 24x+18y
    11·1 answer
  • Help?? Thanks if you do​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!